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Klein–Nishina formula and Monte Carlo method for evaluating the gamma attenuation properties of Zn, Ba, Te and Bi elements

M.S. Al-Buriahi

M.S. Al-Buriahi

Department of Physics, Sakarya UniversityTurkey
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Al-Buriahi, M.S.
, 
Z.A. Alrowaili

Z.A. Alrowaili

Department of Physics, College of Science, Jouf UniversitySaudi Arabia
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Alrowaili, Z.A.
, 
Safa Ezzine

Safa Ezzine

Department of Chemistry, College of Sciences, King Khalid UniversityAbha, Saudi Arabia
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Ezzine, Safa
, 
I.O. Olarinoye

I.O. Olarinoye

Department of Physics, School of Physical Sciences, Federal University of TechnologyNigeria
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Olarinoye, I.O.
, 
Sultan Alomairy

Sultan Alomairy

Department of Physics, College of Science, Taif UniversityTaif, Saudi Arabia
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Alomairy, Sultan
, 
C. Mutuwong

C. Mutuwong

Department of Physics, Ubon Ratchathani UniversityUbon Ratchathani, Thailand
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Mutuwong, C.
 and 
B. T. Tonguç

B. T. Tonguç

Department of Physics, Sakarya UniversityTurkey
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Tonguç, B. T.
  
Oct 18, 2021
Klein–Nishina formula and Monte Carlo method for evaluating the gamma attenuation properties of Zn, Ba, Te and Bi elements's Cover Image
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Published Online: Oct 18, 2021
Page range: 219 - 226
Received: Apr 19, 2021
Accepted: Aug 20, 2021
DOI: https://doi.org/10.2478/msp-2021-0019
Keywords
© 2021 M.S. Al-Buriahi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1

The principal geometry for the present simulations by using Geant4.
The principal geometry for the present simulations by using Geant4.

Fig. 2

Coupling strength as a function of photon energy.
Coupling strength as a function of photon energy.

Fig. 3

K–N mass attenuation coefficients (σ/ρ) versus photon beam energy.
K–N mass attenuation coefficients (σ/ρ) versus photon beam energy.

Fig. 4

Variation in the Compton mass attenuation coefficients (σ/ρ) as a function of the atomic number Z and the atomic weight A, i.e., the Z/A ratio.
Variation in the Compton mass attenuation coefficients (σ/ρ) as a function of the atomic number Z and the atomic weight A, i.e., the Z/A ratio.

Fig. 5

K–N electron-transfer cross section (eσtr) as a function of the energy of interacting γ-rays. K–N, Klein–Nishina.
K–N electron-transfer cross section (eσtr) as a function of the energy of interacting γ-rays. K–N, Klein–Nishina.

Fig. 6

Change in the K–N mass energy-transfer coefficients as a function of the Z/A ratio of the elements. K–N, Klein–Nishina; Z/A ratio, the ratio of the atomic number Z to the atomic weight A.
Change in the K–N mass energy-transfer coefficients as a function of the Z/A ratio of the elements. K–N, Klein–Nishina; Z/A ratio, the ratio of the atomic number Z to the atomic weight A.

Photon energy versus coupling constant (α), K–N electronic cross section (eσ), and electronic mass energy-transfer (eσtr) cross sections_

Source Energy (MeV) Coupling Strength (α) eσ (cm2/electron) eσtr (cm2/electron)
Cs-137 0.662 1.2955 2.56E–25 9.78E–26
Mn-54 0.835 1.6341 2.30E–25 9.55E–26
Co-60 1.170 2.2896 1.95E–25 9.02E–26
Co-60 1.330 2.6027 1.83E–25 8.76E–26
La-140 1.600 3.1311 1.66E–25 8.34E–26

Studied elements along with their symbols, atomic numbers, atomic mass, and Z/A ratios_

Element Symbol Z A Z/A
Zinc Zn 30 65.38 0.459
Tellurium Te 52 127.60 0.408
Barium Ba 56 137.33 0.408
Bismuth Bi 83 208.98 0.397

Compton mass attenuation coefficients for Zn and Ba obtained by using Geant4 simulations and K–N scattering formula_

Energy (MeV) Zn Ba
K–N Geant4 Dev.% K–N Geant4 Dev.%
6.62E–01 0.071 0.071 0.851 0.062 0.063 1.234
8.35E–01 0.063 0.064 0.944 0.056 0.057 1.231
1.17E+00 0.054 0.054 0.824 0.048 0.048 1.138
1.33E+00 0.051 0.051 0.697 0.045 0.045 0.946
1.60E+00 0.046 0.046 0.504 0.041 0.041 0.782

Compton mass attenuation coefficients for Te and Bi elements obtained by using Geant4 simulations and K–N scattering formula_

Energy (MeV) Te Bi
K–N Geant4 Dev.% K–N Geant4 Dev.%
6.62E–01 0.062 0.063 1.079 0.060 0.061 1.706
8.35E–01 0.056 0.057 1.204 0.055 0.055 1.714
1.17E+00 0.048 0.048 0.997 0.046 0.047 1.501
1.33E+00 0.045 0.045 0.951 0.044 0.044 1.339
1.60E+00 0.041 0.041 0.721 0.040 0.040 1.070
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Materials Sciences, Materials Sciences, other, Nanomaterials, Functional and Smart Materials, Materials Characterization and Properties
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